Question

1. Simplify the following, and write your answer in standard form. (-2x – 3)–(3x² – 8x+9)

A. 3x^2 + 6x – 12
B. 6x – 3x² – 12
C. –3x² – 10x + 6
D. – 3x² + 6x – 12

Answer 1

D. -3x² + 6x - 12

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Combining Like Terms

Explanation:

Step 1: Define

(-2x - 3) - (3x² - 8x + 9)

Step 2: Simplify

1. Distributive negative: -2x - 3 - 3x² + 8x - 9
2. Combine like terms (x): -3x² + 6x - 3 - 9
3. Combine like terms (Z): -3x² + 6x - 12